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Trevor is making 2/3 of a recipe for chicken noodle soup. He adds ½ cup of chopped celery. The equation 2/3 c = 1/2 can be used to find the number of cups c of chopped celery in the original recipe. How many cups of chopped celery does the original recipe call for?

Sagot :

Answer:

Cups of chopped celery in original recipe = [tex]\frac{3}{4}\ cups[/tex]

Step-by-step explanation:

Given that:

Trevor is making 2/3 of a recipe

Number of cups of chopped celery used = 1/2 cup

The following equation can be used to find the original number of cups of chopped celery used in recipe.

[tex]\frac{2}{3}c=\frac{1}{2}[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{2}{3}c=\frac{1}{2}*\frac{3}{2}\\\\c= \frac{3}{4}\\[/tex]

Hence,

Cups of chopped celery in original recipe = [tex]\frac{3}{4}\ cups[/tex]